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Simplifying 5(x + -8) = 3(x + -8) Reorder the terms: 5(-8 + x) = 3(x + -8) (-8 * 5 + x * 5) = 3(x + -8) (-40 + 5x) = 3(x + -8) Reorder the terms: -40 + 5x = 3(-8 + x) -40 + 5x = (-8 * 3 + x * 3) -40 + 5x = (-24 + 3x) Solving -40 + 5x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 5x + -3x = -24 + 3x + -3x Combine like terms: 5x + -3x = 2x -40 + 2x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 2x = -24 + 0 -40 + 2x = -24 Add '40' to each side of the equation. -40 + 40 + 2x = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = -24 + 40 2x = -24 + 40 Combine like terms: -24 + 40 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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